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Finding the Fourth Proportional to 1,571.11, 2,357.57 and 841.09

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Solution

The fourth proportional to 1,571.11, 2,357.57 and 841.09 is: 1,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.11 : 2,357.57 = 841.09 : x
  2. Step 2: Convert to fraction form
    1,571.11/2,357.57 = 841.09/x
  3. Step 3: Cross multiply
    1,571.11x = 2,357.57 × 841.09
  4. Step 4: Simplify right side
    1,571.11x = 1,982,924.35
  5. Step 5: Solve for x
    x = 1,982,924.35/1,571.11
  6. Step 6: Final answer
    x = 1,262.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.